Magnetic field from point source

[Maxwellkid]

Homework Statement

A circular loop of wire of radius R carries current I. It is placed in a magnetic field whose straight lines seem to diverge from a point a distance d below the ring on it's axis. It makes an angle theta with the loop at all points where (tan theta= R/d). What is the force on the loop?

Homework Equations

F= IL x B

The Attempt at a Solution

I can't seem to cancel out the x and y components as I take the integral.

 

[tiny-tim]

Hi Maxwellkid!

… I can't seem to cancel out the x and y components as I take the integral.

Two practical answers:

a) why bother? you know it'll be in the z direction, so just do the z component!

b) but if you are bothered, show us what you did, and where it goes wrong

 

[nlightner]

I would first clarify the problem by asking for more information, such as the orientation of the loop with respect to the magnetic field and the direction of the current. This information is necessary in order to accurately calculate the force on the loop using the equation F=ILxB. Additionally, I would suggest using vector notation to represent the magnetic field and the current, as it would make the calculation more straightforward. I would also suggest checking the units of all the variables involved to ensure that they are consistent. Finally, I would recommend double-checking the integration steps to ensure that the x and y components are being properly accounted for. If there are still issues with the calculation, I would suggest seeking help from a colleague or consulting a textbook or online resource for further guidance.